Solve, using the substitution method, and check. $\begin{array} { c }
3 x - 2 y = 56 \
y = - 2 x
\end{array}$
A) (0, 0)
B) (8, -16)
C) (3, -11)
D) (7, -17)
E) (5, -10)

Question

Solve, using the substitution method, and check. $\begin{array} { c } 
3 x - 2 y = 56 \
y = - 2 x
\end{array}$
A) (0, 0)
B) (8, -16)
C) (3, -11)
D) (7, -17)
E) (5, -10)

Quizplus · Accepted Answer

Substituting $y = -2x$ into the first equation gives $3x - 2(-2x) = 56$, which simplifies to $3x + 4x = 56$, or $7x = 56$. Solving for $x$ gives $x = 8$. Substituting $x = 8$ back into $y = -2x$ gives $y = -2(8) = -16$. Therefore, the solution is $x = 8, y = -16$, which corresponds to choice B.

Solve, Using the Substitution Method, and Check 3x−2y=56y=−2x\begin{array} { c } 3 x - 2 y = 56 \\y = - 2 x\end{array}3x−2y=56y=−2x​

Solve, Using the Substitution Method, and Check $\begin{array} { c } 3 x - 2 y = 56 \\y = - 2 x\end{array}$